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Finding the Fourth Proportional to 334,661.83, 501,730.30 and 157,077.43

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Solution

The fourth proportional to 334,661.83, 501,730.30 and 157,077.43 is: 235,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,661.83 : 501,730.30 = 157,077.43 : x
  2. Step 2: Convert to fraction form
    334,661.83/501,730.30 = 157,077.43/x
  3. Step 3: Cross multiply
    334,661.83x = 501,730.30 × 157,077.43
  4. Step 4: Simplify right side
    334,661.83x = 78,810,506,077.13
  5. Step 5: Solve for x
    x = 78,810,506,077.13/334,661.83
  6. Step 6: Final answer
    x = 235,492.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.